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kow [346]
3 years ago
14

If you start with 2 and count by 3s until you reach 449, you will get the sequence: 2, 5, 8, 11, …, 449. If 449 is the Nth numbe

r, what is the value of N?
Mathematics
1 answer:
max2010maxim [7]3 years ago
7 0

Answer:

150

Step-by-step explanation:

The terms in the sequence form an arithmetic sequence with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 , thus

2 + 3(n - 1) = 449

2 + 3n - 3 = 449

3n - 1 = 449 ( add 1 to both sides )

3n = 450 ( divide both sides by 3 )

n = 150

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Ipatiy [6.2K]

Answer:

11

Step-by-step explanation:

First, find how much a token costs.

4.40 ÷ 8 = .55

Then divide 6.05 by .55 to get 11.

3 0
2 years ago
Is 15 kilometers equivalent to 1,500,000 centimeters
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Hi
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6 0
3 years ago
A book sold 31,500 copies in its first month of release. Suppose this represents 8.9% of the number of copies sold to date. How
kogti [31]

Answer:

35,393,258

Step-by-step explanation

\frac{31,500}{x} =\frac{0.089}{100}

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Rounded to the nearest whole number, that is 35,393,258.

7 0
2 years ago
A circle has a sector with area 33 pi and a central angle of 11/6 pi radians. What is the area of a circle?
Mashutka [201]

Answer:

36π

Step-by-step explanation:

The area of a circle is given as:

A = \pi r^2

where r = radius of the circle

The area of a sector of a circle is given as:

A_s = \frac{\alpha }{2\pi} * \pi r^2

where α = central angle in radians

Since \pi r^2 is the area of a circle, A, this implies that:

A_s = \frac{\alpha }{360}  * A

A circle has a sector with area 33 pi and a central angle of 11/6 pi radians.

Therefore, the area of the circle, A, is:

33 \pi = \frac{\frac{11 \pi}{6} }{2 \pi} * A\\\\33\pi = \frac{11}{12} * A\\\\=> A = \frac{33\pi * 12}{11}\\ \\A = \frac{396 \pi}{11} \\\\A = 36\pi

The area of the circle is 36π.

5 0
2 years ago
Read 2 more answers
HELP ASAP GET 5 POINTS
tamaranim1 [39]
5 because 2 - -3 = 5.
8 0
2 years ago
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